6/5 + 2/13 as a fraction

Learn how to find what is 6/5 plus 2/13 in fraction form just in a few minutes. We have covered the easiest method to write 6/5 + 2/13 as a fraction and decimal.

Summary: 6/5 plus 2/13 = 88/65
Since both fractions have unequal denominators, 6/5 plus 2/13 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 6/5 and fraction 2/13 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 5 and 13. 65 is the LCM of 5 and 13. Multiplying the LCM 65 with the numerators and denominators of both fractions (6/5 x 65/65) + (2/13 x 65/65), and simplify further in order to have the common denominator. So the equivalent fraction for 6/5 is 78/65 and for 2/13 is 10/65. By simplifying this fraction addition 78/65 + 10/65, it becomes 88/65.

CALCULATION: 6/5 + 2/13 as a fraction
6/5 + 2/13 = (?)
6/5 + 2/13 = [(6 x 13) + (2 x 5)]/(5 x 13)
= (78 + 10)/65
= 88/65
6/5 + 2/13 = 88/65
6/5 plus 2/13 as a fraction is 88/65.

where
6/5 is a improper fraction as an addend,
2/13 is a proper fraction as an addend,
88/65 is the sum of 6/5 and 2/13.

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6/5 plus 2/13 as a decimal
6/5 + 2/13 = 88/65
88/65 = 1.3538
(6/5) + (2/13) as a decimal is 1.3538

where
1.3538 is the sum of 6/5 and 2/13.

The below workout with step by step calculation shows how to find the equivalent fraction between 6/5 and 2/13 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 6/5 plus 2/13 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(6/5) + (2/13) using LCM Method:
What is 6/5 plus 2/13 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 2/13

What to be found?
(6/5) + (2/13) = ?
Find what's the sum of 6/5 and 2/13.

step 2 Compare the denominators of fractions 6/5 and 2/13 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 6/5 and 2/13 are not equal, it is said to be unlike fractions addition.

step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 6/5 and 2/13:
The LCM of 5 and 13 is 65.

step 4 Write the fractions 6/5 and 2/13 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 6/5 + 2/13
= [(6 x 65)/(5 x 65)] + [(2 x 65)/(13 x 65)]

step 5 Simplify the expression to have common denominator:
= 78/65 + 10/65

step 6 Take the common values out and rewrite the above expression like the below:
= 1/65 x (78/1 + 10/1)
= 1/65 x (78 + 10)

step 7Simplify the above expression further:
= 1/65 x 88
= 88/65
6/5 + 2/13 = 88/65

Hence,
6/5 plus 2/13 as a fraction is 88/65.

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6/5 + 2/13 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 6/5
Fraction B: 2/13

What to be found?
(6/5)+(2/13) = ?
Find what's the sum of 6/5 and 2/13.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (6 x 13), find the product of numerator of Fraction B and denominator of Fraction A (2 x 5), and find the product of both denominators of Fraction A and Fraction B (5 x 13) and rewrite the equation as like the below:
= (6 x 13) + (2 x 5)/(5 x 13)

step 3 Simplify and rewrite the fraction:
= (78 + 10)/65
6/5 + 2/13 = 88/65

Hence,
6/5 plus 2/13 in fraction is 88/65